53360294400 has 1440 divisors, whose sum is σ = 239476279680. Its totient is φ = 11581194240.

The previous prime is 53360294381. The next prime is 53360294419. The reversal of 53360294400 is 449206335.

53360294400 is a `hidden beast` number, since 5 + 3 + 3 + 602 + 9 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53360294381) and next prime (53360294419).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 389491132 + ... + 389491268.

It is an arithmetic number, because the mean of its divisors is an integer number (166302972).

Almost surely, 2^53360294400 is an apocalyptic number.

53360294400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53360294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119738139840).

53360294400 is an abundant number, since it is smaller than the sum of its proper divisors (186115985280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53360294400 is a wasteful number, since it uses less digits than its factorization.

53360294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 53360294400 in words is "fifty-three billion, three hundred sixty million, two hundred ninety-four thousand, four hundred".